eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2013-01-01
4
1
1
6
10.22075/ijnaa.2013.17
17
A new class of function spaces on domains of R^d and its relations to classical function spaces
G. Narimani
1
Department of Mathematics and Applications, Faculty of Basic Sciences, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil,Iran.
http://ijnaa.semnan.ac.ir/article_17_379fb97196caddfaa34a2f59bfffb34e.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2013-01-01
4
1
7
20
10.22075/ijnaa.2013.18
18
On Psi-conditional asymptotic stability of first order nonlinear matrix Lyapunov system
G. SURESH KUMAR
drgsk006@gmail.com
1
B. V. Appa Rao
bvardr2010@gmail.com
2
M. S. N Murthy
drmsn2002@gmail.com
3
Department of Mathematics, Konenu Lakshmaiah University, Green Fields, Vaddeswaram-522 502, Guntur Dt., Andhra Pradesh, India.
Department of Mathematics, Konenu Lakshmaiah University, Green Fields, Vaddeswaram-522 502, Guntur Dt., Andhra Pradesh, India.
Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar 522510, Guntur, Andhrapradesh, ,India.
We provide necessary and sucient conditions for psi-conditional as-ymptotic stability of the solution of a linear matrix Lyapunov system and sucientconditions for psi -conditional asymptotic stability of the solution of a rst ordernon-linear matrix Lyapunov system X0 = A(t)X + XB(t) + F(t;X).
http://ijnaa.semnan.ac.ir/article_18_4c9bc609cd9a09ed8f29da1c68df2bc4.pdf
fundamental matrix
psi-bounded
psi-stable
psi-conditional asymptotic stable
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2013-01-01
4
1
21
34
10.22075/ijnaa.2013.23
23
Convergence theorems of implicit iterates with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
G. S. Saluja
1
Department of Mathematics and Information Technology, Govt. Nagarjuna P.G. College of Science, Raipur - 492010 (C.G.), India.
In this paper, we prove that an implicit iterative process with er-rors converges strongly to a common xed point for a nite family of generalizedasymptotically quasi-nonexpansive mappings on unbounded sets in a uniformlyconvex Banach space. Our results unify, improve and generalize the correspond-ing results of Ud-din and Khan [4], Sun [21], Wittman [23], Xu and Ori [26] andmany others.
http://ijnaa.semnan.ac.ir/article_23_81b4e589cea81d129b164256ba628e30.pdf
Generalized asymptotically quasi-nonexpansive mapping
implicit iteration process with errors
common fixed point
strong convergence
uniformly convex Banach space
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2013-01-01
4
1
35
48
10.22075/ijnaa.2013.24
24
properties of M−hyoellipticity for pseudo
differential operators
M. Alimohammady
1
M. K. Kalleji
2
Department of Mathematics, University of Mazandaran, Babolsar 47416-1468, Iran.
Department of Mathematics, University of Mazandaran, Babolsar 47416-1468, Iran.
In this paper we study properties of symbols such that these belong to class of symbols sitting insideSm ρ,φ that we shall introduce as the following. So for because hypoelliptic pseudodifferential operatorsplays a key role in quantum mechanics we will investigate some properties of M−hypoelliptic pseudodifferential operators for which define base on this class of symbols. Also we consider maximal andminimal operators of M−hypoelliptic pseudo differential operators and we express some results aboutthese operators.
http://ijnaa.semnan.ac.ir/article_24_526d06bc28411feafbd032e419349976.pdf
pseudo differential operator
elliptic operator
hypoelliptic operator
parametrix
operator
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2013-01-01
4
1
49
54
10.22075/ijnaa.2013.25
25
On positive solutions for a class of infinite semipositone problems
M. B. Ghaemi
1
M. Choubin
2
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
Department of Mathematics, Faculty of Basic Sciences, Payame Noor University, Tehran, Iran
We discuss the existence of a positive solution to the innite semipositone problemu = au bu f(u) cu ; x 2 ; u = 0; x 2 @;where is the Laplacian operator, > 1, 2 (0; 1), a; b and c are positive constants, is a boundeddomain in RN with smooth boundary @, and f : [0;1) ! R is a continuous function such thatf(u) ! 1 as u ! 1. Also we assume that there exist A > 0 and > 1 such that f(s) As, forall s 0. . We obtain our result via the method of sub- and supersolutions.
http://ijnaa.semnan.ac.ir/article_25_7870e0429784ac5d0e18ac58d13aff5f.pdf
Positive solution
Innite semipositone
Sub- and supersolutions
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2013-01-01
4
1
55
58
10.22075/ijnaa.2013.26
26
Some results of 2-periodic functions by Fourier sums in the space Lp(2)
M. El Hamma
1
R. Daher
2
Department of Mathematics, Faculty of Science An Chock, University Hassan II, Casablanca, Morocco
Department of Mathematics, Faculty of Science An Chock, University Hassan II, Casablanca, Morocco
In this paper, using the Steklov function, we introduce the generalized continuity modulus and denethe class of functions Wr;kp;' in the space Lp. For this class, we prove an analog of the estimates in [1]in the space Lp.
http://ijnaa.semnan.ac.ir/article_26_8f389ac357013560ef2c75f09c433ed1.pdf
2-periodic function
approximation by Fourier sums
Steklov function
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2013-01-01
4
1
59
65
10.22075/ijnaa.2013.27
27
A modified LLL algorithm for change of ordering of Grobner basis
M. Borujeni
1
A. Basiri
2
S. Rahmany
3
A. H. Borzabadi
4
School of Mathematics and Computer Science, Damghan University, Damghan, Iran
School of Mathematics and Computer Science, Damghan University, Damghan, Iran
School of Mathematics and Computer Science, Damghan University, Damghan, Iran
School of Mathematics and Computer Science, Damghan University, Damghan, Iran
In this paper, a modied version of LLL algorithm, which is a an algorithm with output-sensitivecomplexity, is presented to convert a given Grobner basis with respect to a specic order of a polynomialideal I in arbitrary dimensions to a Grobner basis of I with respect to another term order.Also a comparison with the FGLM conversion and Buchberger method is considered.
http://ijnaa.semnan.ac.ir/article_27_9401864bf11c0577d12735f05c767abd.pdf
Grobner Basis
LLL Algorithm
Reduced Lattice Basis
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2013-01-01
4
1
66
73
10.22075/ijnaa.2013.28
28
Sigma-weak amenability of Banach algebras
T. Yazdanpanah
1
I. Mozzami Zadeh
2
Department of Mathematics, Persian Gulf University, Bushehr, 75168, Iran
Department of Mathematics, Persian Gulf University, Bushehr, 75168, Iran
Let A be a Banach algebra, be continuous homomorphism on A with (A) = A. The boundedlinear map D : A ! A is derivation, ifD(ab) = D(a) (b) + (a) D(b) (a; b 2 A):We say that A is -weakly amenable, when for each bounded derivation D : A ! A, there existsa 2 A such that D(a) = (a) a a (a). For a commutative Banach algebra A, we showA is weakly amenable if and only if every derivation from A into a symmetric BanachAbimodule X is zero. Also, we show that a commutative Banach algebra A is weakly amenableif and only if A# is #weakly amenable, where #(a + ) = (a) + .
http://ijnaa.semnan.ac.ir/article_28_0ec73acaf4acf95cbff958392ec4552b.pdf
Banach algebra
-derivation
weak amenability
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2013-01-01
4
1
74
78
10.22075/ijnaa.2013.56
56
Fuzzy difference equations of Volterra type
R. Memarbashi
1
A. Ghasemabadi
2
Department of Mathematics, Semnan University, Semnan, Iran. P. O. Box 35195-363.
Department of Mathematics, Semnan University, Semnan, Iran. P. O. Box 35195-363.
In this work we introduce the notion of fuzzy volterra dierence equations and study the dynamicalproperties of some classes of this type of equations. We prove some comparison theorems for theseequations in terms of ordinary volterra dierence equations. Using these results the stability of thefuzzy nonlinear volterra dierence equations is investigated.
http://ijnaa.semnan.ac.ir/article_56_21e047dc421a9ca61e50ac8984d25f7e.pdf
Volterra dierence equations
Fuzzy
Attractivity
Stability
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2013-01-01
4
1
79
91
10.22075/ijnaa.2013.59
59
Shannon entropy in generalized order statistics from
Pareto-type distributions
B. Afhami
1
M. Madadi
2
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran, 76169-14111.
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran, 76169-14111.
In this paper, we derive the exact analytical expressions for the Shannon entropy of generalized orderstatistics from Pareto-type and related distributions.
http://ijnaa.semnan.ac.ir/article_59_99c5cf63356fad7b661b8c99e7408863.pdf
Shannon entropy
generalized order statistics
Pareto distribution
Burr distribution